Re: The set of necessary FISONs

Am Sat, 15 Feb 2025 13:56:17 +0100 schrieb WM:

On 14.02.2025 20:48, Jim Burns wrote:

On 2/14/2025 8:02 AM, WM wrote:

 

The set of rows and the set of columns are both the size of ⋃{F} and
each other.

Yes, that is potentially infinite.

The set of rows, the set of columns, and ⋃{F} do not change.

Then it would need to contain ℕ, as an infinite FISON.

Nah. Then it would be finite.

Bob is not anywhere he has swapped to.

Then your logic allows lossless exchanges with losses. Not acceptable.

Only in the limit of the permutations, which may not be a permutation
itself.

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Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.